Ask question

Ask question

All categories

Zigmanuir [339]

3 years ago

11

The composite shape is made up of two identical triangles and two different rectangles. What is the are of the composite shape i

n units squared?
___

1 answer:

AfilCa [17]3 years ago

4 0

Answer: 72 u^2

<h3>Explanation:</h3>

What we know:

Both triangles are identical
Both rectangles are different
There are values in units^2 given
There are right angles

How to solve:

We need to find the area of at least one of the triangles and double it. Then, we need to find the areas of both rectangles. Finally, we need to add these areas to find the total area. The final area will be represented in units squared (u^2)

<h2>Process:</h2>

Triangles

Set up equation A = 1/2(bh)

Substitute A = 1/2(4*3)

Simplify A = 1/2(12)

Solve A = 6

Double *2

A = 12 u^2

Rectangles

Set up equation A = lh

Substitute A = (14)(3)

Simplify A = 42 u^2

Set up equation A = lh

Substitute A = [14-(4+4)](3)

Simplify A = (14-8)(3)

Simplify A = (6)(3)

Multiply A = 18 u^2

Total Area

Set up equation A = R1+R2+T

Substitute A = 42 + 18 + 12

Simplify A = 60 + 12

Solve A = 72 u^2

<h3>Answer: 72 u^2</h3>

You might be interested in

Eli had $10, but he lost some of it. His mom doubled the money he had left. Eli wrote the expression 2(10 – k) to show how much

Juli2301 [7.4K]

Answer:

Equation 1

In the story it said Eli's mom doubled the money he left, that is what the two represents. 10 is the original amount he had. -k is the money he lost.

Equation 2

20 is the the result of the original 10 being multiplied. -2k, now the 2 is still the amount that the mom doubled his amount by, and the k is how much money Eli lost.

Hope this helps!!

8 0

3 years ago

Read 2 more answers

X| 25 | 35 | 45 | 55 |

Yanka [14]

A graphing calculator can do a linear regression on these points very easily. The y-intercept is 107.

_____
If you want to do this by hand, you can use the 2-point form of the equation for a line, then evaluate for x=0.
.. y = (100 -102)/(35 -25)*(x -25) +102
.. y =-2/10*(0 -25) +102
.. y = 107

6 0

3 years ago

X²=9 determine if x belongs to Q or belongs to Q dash

Elis [28]

x = 3 is the answer can you pls add me brainliest answer

4 0

2 years ago

HI can you help me with this problem?The quantity demanded x for a certain brand of MP3 players is 300 units when the unit price

Vlad [161]

The demand equation is P = -0.05x + 105

STEP - BY - STEP EXPLANATION

What to find?

<em>The demand equation.</em>

The following information is used to solve the problem.

If (x₁ , y₁) and (x₂, y₂) are any dinstinct points on a line a non-vertical line L, then the equation of the line that has a slope(m) and passes through the point (x₁ , y₁) is given by the formula below:

$y-y_1=_{}\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Assume p, be the unit price and x be the demand when the price is $p.

From the question given, when the unit price x = 300 units, the demand p = $90 and when the unit price x = 1300 units, the demand p = $40

This means the demand curve passes through the points (300, 90) and (1300, 40).

Assume the demand equation is linear, then the line of the equation passes through the points (300, 90) and (1300, 40).

Now;

y=p x₁ =300 y₁ = 90 x₂ = 1300 y₂=40

Substitute the values into the function and simplify.

$p-90=\frac{40-90}{1300-300}(x-300)$

Simplify the above.

$p-90=\frac{-50}{1000}(x-300)$ $p-90=-0.05(x-300)$

Open the parenthesis.

P- 90 = -0.05x + 15

Add 90 to both-side of the equation.

P = -0.05x + 15 + 90

P = -0.05x + 105

Hence, the demand function is P = -0.05x + 105

6 0

1 year ago

The graph of f(x) = 2x^2 + 20x + 48 is shown

Free_Kalibri [48]

Answer:

a) The equation in intercept form by factoring is (x+6)(x+4)

b) From the given graph x- intercepts are (-4,0) and (-6,0) and zeros (roots) of the function are -6 and -4.

c) The solutions of $2x^2+20x+48=0$ is $(x+6)(x+4)=0$ that is x= -6 and x = -4.

Step-by-step explanation:

The given quadratic equation is $f(x)=2x^2+20x+48$

Put the function f(x) = 0 , then $f(x)=2x^2+20x+48=0$

a) The equation in intercept form by factoring is ,

Consider the given function,

$f(x)=2x^2+20x+48=0$

$\Rightarrow 2x^2+20x+48=0$

taking 2 common, we get,

$\Rightarrow 2(x^2+10x+24)=0$

$\Rightarrow x^2+10x+24=0$

The above is a quadratic equation of the form $ax^2+bx+c=0$

Solving quadratic equation using middle term splitting method,

$\Rightarrow x^2+6x+4x+24=0$

$\Rightarrow x(x+6)+4(x+6)=0$

$\Rightarrow (x+6)(x+4)=0$

Thus, The equation in intercept form by factoring is (x+6)(x+4).

b) From the given graph x- intercepts are (-4,0) and (-6,0) .

Zeroes / roots of a function are those points where the value of the function is zero.

Put f(x) = 0 as solved above

that is $(x+6)(x+4)=0$

$\Rightarrow (x+6)=0$ or $\Rightarrow (x+4)=0$

$\Rightarrow x=-6$ or $\Rightarrow x=-4$

Thus, zeros (roots) of the function are -6 and -4.

For checking put x = -6 and -4 in the function we get f(x) =0 .

c) The solutions of $2x^2+20x+48=0$ is $(x+6)(x+4)=0$ that is x= -6 and x = -4 as shown above.

8 0

3 years ago